Details

sample166.0ms

Algorithm: halfpoints

simplify5.2s

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	16	24
1	30	11
2	48	11
3	83	11
4	117	11
5	188	11
6	331	11
7	556	11
8	1000	11
9	1366	11
10	1686	11
11	1768	11
12	1790	11
done	1790	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
15.7b	(- (exp x) (exp (- x)))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
35×	`associate-l`
29×	`times-frac`
23×	`add-cube-cbrt`
14×	`add-exp-log` `add-cbrt-cube`
8×	`pow1` `add-log-exp`
6×	`associate-r`
4×	`prod-exp` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `diff-log` `sum-log` `flip--` `flip-+`

Counts

4 → 99

Calls

4 calls:

75.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
12.0ms	(+ (exp x) (exp (- x)))
79.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
25.0ms	(- (exp x) (exp (- x)))

series328.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
44.0ms	(+ (exp x) (exp (- x)))
113.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
50.0ms	(- (exp x) (exp (- x)))

simplify3.0s

Counts

111 → 111

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	200	1479
1	499	1449
2	1383	1277
3	4288	1273
done	5001	1273

prune468.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y))
0.0b	(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
15.7b	(- (exp x) (exp (- x)))

rewrite437.0ms

Algorithm

rewrite-expression-head

Rules

111×	`associate-l`
104×	`times-frac`
101×	`*-un-lft-identity`
96×	`add-sqr-sqrt`
94×	`sqrt-prod`
69×	`add-cube-cbrt`
35×	`add-exp-log` `add-cbrt-cube`
14×	`prod-exp` `cbrt-unprod`
13×	`pow1`
12×	`distribute-lft-out`
7×	`cbrt-undiv` `div-exp` `associate-r` `unswap-sqr`
6×	`add-log-exp`
5×	`pow-prod-down` `associate-*l/`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`*-commutative` `div-inv`
1×	`frac-times` `sub-neg` `flip3--` `diff-log` `associate-*r/` `flip--`

Counts

4 → 192

Calls

4 calls:

117.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y))
180.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))
93.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
30.0ms	(- (exp x) (exp (- x)))

series656.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y))
255.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))
137.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
59.0ms	(- (exp x) (exp (- x)))

simplify1.7s

Counts

204 → 204

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	272	4150
1	710	3996
2	2495	3241
done	5000	3235

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.3b	(cbrt (pow (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)) 3))
0.4b	(pow (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)) 3)
15.7b	(- (exp x) (exp (- x)))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
19×	`associate-l`
16×	`add-cube-cbrt` `times-frac`
15×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
8×	`cbrt-prod`
6×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
3×	`pow-unpow` `associate-r` `associate-*l/` `pow-exp` `rem-cube-cbrt`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `div-exp` `pow-prod-down` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `cbrt-div` `flip3--` `pow1/3` `diff-log` `*-commutative` `flip--` `rem-cbrt-cube` `div-inv`

Counts

4 → 95

Calls

4 calls:

60.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
4.0ms	(cbrt (pow (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)) 3))
33.0ms	(pow (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)) 3)
21.0ms	(- (exp x) (exp (- x)))

series653.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
184.0ms	(cbrt (pow (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)) 3))
302.0ms	(pow (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)) 3)
51.0ms	(- (exp x) (exp (- x)))

simplify1.3s

Counts

107 → 107

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	211	1770
1	499	1624
2	1564	1450
done	5001	1441

prune699.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	24
1	19	24
done	19	24

end0.0ms

sample5.8s

Algorithm: halfpoints